Konsa scored the decisive goal in Monday's 1-0 victory over Sheffield United, with Mings supplying the assist.
Villa maintained their run of strong defensive displays when playing at their own stadium.
Villa have also become only the second team this season to produce a shutout at home across the opening 18 such matches of 2020/21.
The Foxes' right-back is the only player to feature in the Kings of the Gameweek line-up in each of the first two rounds of matches.
He takes his place in a Gameweek 2 team that totalled 171 points in a 3-4-3 formation.